Part 2 (20 points) 1) Sir Francis Galton, a cousin of James Darwin, examined the

Question

Part 2 (20 points) 1) Sir Francis Galton, a cousin of James Darwin, examined the relationship between the height of children and their parents towards the end of the 19th century. You decide to update his findings by collecting data from 110 college students, and estimate the following relationship: (14 Points) Studenth 19.6+ 0.73 x Midparh, R2- 0.45 where Studenth is the height of students in inches, and Midparh is the average of the parental heights. (Following Galton's methodology, both variables were adjusted so that the average female height was equal to the average male height. So we can ignore gender difference here.) (a) Interpret the estimated coefficients. (5 points) (b) What is the meaning of the regression R2? (4 points) (o) What is the prediction for the height of a child whose parents have an average height of 70.06 inches? (5 points) 2) You have obtained data on test scores and class sizes that are measured by student-teacher ratios in region A and region B of your state. You decide to run the following regression

Explanation / Answer

Ans 1)

When there is change in 1 inch of average height of parents we will have 0.73 inches change in students height

When there is no change in average height of parents we will have invariant value of student height is 19.6 inches

R^2 says that variation in student height is explained by Average hright of parents will be 45%

Student=19.6+0.73(72.5)=72.53 inches...(This is the prediction od student s heights when average parent s height is 72.53 inches

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